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Strichartz inequalities with white noise potential on compact surfaces

Abstract : We prove Strichatz inequalities for the Schrödinger equation and the wave equation with multiplicative noise on a two-dimensional manifold. This relies on the Anderson Hamiltonian H described using high order paracontrolled calculus. As an application, it gives a low regularity solution theory for the associated nonlinear equations.
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https://hal.archives-ouvertes.fr/hal-03198650
Contributor : Antoine Mouzard Connect in order to contact the contributor
Submitted on : Wednesday, July 20, 2022 - 4:19:26 PM
Last modification on : Friday, July 22, 2022 - 4:03:55 AM

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  • HAL Id : hal-03198650, version 3
  • ARXIV : 2104.07940

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Antoine Mouzard, Immanuel Zachhuber. Strichartz inequalities with white noise potential on compact surfaces. 2022. ⟨hal-03198650v3⟩

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